On arithmetic–geometric eigenvalues of graphs

Abstract

In this article, we are interested in characterizing graphs with three distinct arithmetic–geometric eigenvalues. We provide the bounds on the arithmetic–geometric energy of graphs. In addition, we carry out a statistical analysis of arithmetic–geometric energy and boiling point of alkanes. We observe that arithmetic–geometric energy is better correlated with a boiling point than the arithmetic–geometric index.

Keywords

• topological indices
• arithmetic–geometric matrix
• correlation
• energy